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- W2014169560 abstract "We apply the algebra of compact $U(6)ifmmodetimeselsetexttimesfi{}U(6)$, obtained from integrated current components, to meson systems. If we limit the sums over intermediate states to the lowest lying 36 $mathrm{SU}(3)$-invariant pseudoscalar and vector meson physical states at rest, then we obtain several of the predictions of $mathrm{SU}(6)$ models. On considering the commutation rules of magnetic-moment operators we obtain additional relations. Among these are $〈{{r}_{ensuremath{pi}}}^{2}〉=〈{{r}_{ensuremath{rho}}}^{2}〉$ and ${{ensuremath{mu}}_{ensuremath{rho}}}^{2}=frac{1}{6}〈{{r}_{ensuremath{rho}}}^{2}〉$ relating the electric charge radii to the $ensuremath{rho}$-meson magnetic moment, with a pole model giving 2 magnetons for the $ensuremath{rho}$-meson total magnetic moment. We also find $frac{〈{{r}_{ensuremath{pi}}}^{2}〉}{6}ensuremath{simeq}frac{1.6}{{{M}_{V}}^{2}}$, using an additional consistency relation, in rough agreement with the vector-meson pole model. However, the radius of electric charge form factors is predicted to be the same as that of the divergence of the axial-vector current form factors, which disagrees with our present ideas about these form factors." @default.
- W2014169560 created "2016-06-24" @default.
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- W2014169560 date "1966-01-28" @default.
- W2014169560 modified "2023-09-25" @default.
- W2014169560 title "Current Algebras and Meson Systems" @default.
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- W2014169560 doi "https://doi.org/10.1103/physrev.141.1484" @default.
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